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Finding the Fourth Proportional to 9,332.85, 13,995.12 and 4,949.31

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Solution

The fourth proportional to 9,332.85, 13,995.12 and 4,949.31 is: 7,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.85 : 13,995.12 = 4,949.31 : x
  2. Step 2: Convert to fraction form
    9,332.85/13,995.12 = 4,949.31/x
  3. Step 3: Cross multiply
    9,332.85x = 13,995.12 × 4,949.31
  4. Step 4: Simplify right side
    9,332.85x = 69,266,187.37
  5. Step 5: Solve for x
    x = 69,266,187.37/9,332.85
  6. Step 6: Final answer
    x = 7,421.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.